Rule: Q[24]

Type

Polynomials

One starts from the polynomial $P_1$ and extends one by one with $P_{\mathrm{i}}$ until the final polynomial defining this rule is reached.
Note: Polynomials might be truncated due to size! The complete polynomials are included in the download.

• $P_1$:
  $\frac{8061900920775}{4194304}\cdot t^{24}-\frac{11835556670925}{1048576}\cdot t^{22}+\frac{60755857577415}{2097152}\cdot t^{20}-\frac{44742685812825}{1048576}\cdot t^{18}+\frac{166966608033225}{4194304}\cdot t^{16}-\frac{12843585233325}{524288}\cdot t^{14}+\frac{10529425731825}{1048576}\cdot t^{12}-\frac{1418249180205}{524288}\cdot t^{10}+\frac{1933976154825}{4194304}\cdot t^8-\frac{48522699225}{1048576}\cdot t^6+\frac{5019589575}{2097152}\cdot t^4-\frac{50702925}{1048576}\cdot t^2+\frac{676039}{4194304}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Legendre type can be downloaded here packed into a single file.